Final Answer
$\frac{1}{2}e^{2x}2_0+C_0$
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Step-by-step Solution
Problem to solve:
$\int^{2_0} e^{2x}dx$
Specify the solving method
1
The integral of a function times a constant ($2_0$) is equal to the constant times the integral of the function
$2_0\int e^{2x}dx$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$\frac{1}{2}e^{2x}2_0+C_0$
Final Answer
$\frac{1}{2}e^{2x}2_0+C_0$